Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

This review aims to offer a pedagogical introduction to the analytic conformal bootstrap
program via a journey through selected topics. We review analytic methods which include …

This white paper summarizes recent progress in the cosmological bootstrap, an approach to
the study of the statistics of primordial fluctuations from consistency with unitarity, locality and …

A bstract Scattering amplitudes at weak coupling are highly constrained by Lorentz
invariance, locality and unitarity, and depend on model details only through coupling …

A bstract We describe in more detail the general relation uncovered in our previous work
between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space …

A bstract We argue that every CFT contains light-ray operators labeled by a continuous spin
J. When J is a positive integer, light-ray operators become integrals of local operators over a …

A bstract A key insight of the bootstrap approach to cosmological correlations is the fact that
all correlators of slow-roll inflation can be reduced to a unique building block—the four-point …

A bstract Cosmological correlation functions contain valuable information about the
primordial Universe, with possible signatures of new massive particles at very high energies …

We extend the cosmological bootstrap to correlators involving massless particles with spin.
In de Sitter space, these correlators are constrained both by symmetries and by locality. In …

A bstract Caron-Huot has recently given an interesting formula that determines OPE data in
a conformal field theory in terms of a weighted integral of the four-point function over a …